Texas Instruments
Texas Instruments: Hot Tub
This activity is an application of integration. Students first use the calculator to determine specific numeric results to enable them to understand the dynamics of the problem. (Continued. See "before the activity.")
Texas Instruments
Texas Instruments: Features of the Ti 89 That Maximize Its Use
This Computer Algebra System (CAS) activity encourages students to investigate the various functions and applications of the CAS calculator. They study and practice various types of problems in algebra and calculus with the help of the...
Texas Instruments
Texas Instruments: Jet Plane
This activity is an application of differentiation involving related rates. Students set up equations relating the variables and then differentiate them with respect to time to find the rate a distance is changing and an angle is changing.
Purple Math
Purplemath: Quadratic Word Problems: Projectile Motion
Launching a rocket up into the air, throwing a textbook down off a rooftop, or tossing a baseball out to someone in center field are all examples of projectile motion and quadratic word problems. Situations like these are explored here,...
Other
Science Direct: New Lower Bounds for the Three Dimensional Finite Bin Packing
This article analyzes the three-dimensional finite bin packing problem (3BP). The 3BP finds many practical applications as it is a simplified version of many real-world problems, e.g. container and pallet loading.
Sophia Learning
Sophia: English to Metric Conversion: Lesson 4
This lesson shows how to convert between English to metric units for different derived units. It is 4 of 4 in the series titled "English to Metric Conversion."
Lawrence Hall of Science
The Math Page: Skill in Algebra: Word Problems Equations With Fractions
Here is a site that clearly and thoroughly shows how to solve word problems in which the derived equation has fractions involved. There are example problems solved, problems for the student to attempt, and answers to the student...
Oswego City School District
Regents Exam Prep Center: Area of a Triangle and Parallelogram Using Trig
How can trigonometry be used to find the area of a triangle or parallelogram? Does the triangle need to be a right triangle, and how accurate can the results possibly be? The answers to these questions are found here along with several...
Dartmouth College
Dartmouth College: Mqed: Rates of Change
The resource investigates rates of change using the program STELLA. Discussion questions and exercises are included in the monograph.
![Paul's Online Notes: Calculus Cheat Sheet [Pdf] Handout](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "Paul's Online Notes: Calculus Cheat Sheet [Pdf] Handout")
Paul Dawkins
Paul's Online Notes: Calculus Cheat Sheet [Pdf]
The study sheet consists of formulas and examples on concepts discussed in a Calculus course. Topics included are limits, derivatives, integrals, and applications.
Interactive Mathematics
Interactive Mathematics: Newton's Method
This lesson provides an example demonstrating the iterative method of finding the roots of a function using derivatives.
Texas Instruments
Texas Instruments: Using Slope Fields
In this activity, students identify whether a slope field approximately reflects a differential equation. They also determine whether a potential solution fits the slope field.
Texas Instruments
Texas Instruments: Confectionery Delight
Students first make physical models using paper and scissors to get a grasp of the problem and to determine how to set it up. They then use the CAS of the TI-89 and calculus to determine the dimensions of the box which gives the maximum...
Texas Instruments
Texas Instruments: Solving Diff Eqs: Fundamental Theorem Calculus
This activity exclusively uses the graphing calculator's ability to apply Euler's method to find a solution to a differential equation with a given initial condition.
Interactive Mathematics
Interactive Mathematics: Differentiation
Explore the world of Calculus through differentiation. Focusing on areas such as limits, tangents to curves, and derivatives, this site shows you how to solve problems based on the discoveries of Sir Isaac Newton and Gottfried Leibniz....
Interactive Mathematics
Interactive Mathematics: Curve Sketching
Sketches of functions are drawn by determing important points: x- and y-intercepts, local maxima and minima, and point of inflection. The general shapes of specific functions are illustrated to help identify characteristics of each type...
Department of Defense
Do Dea: Optimization Examples
Practice types of problems you will see on AP Calculus test that deal with optimization. Formulas and examples are provided.
Massachusetts Institute of Technology
Mit: Calculus Index
This site from the Massachussets Institute of Technology has links to various topics in calculus.
Shodor Education Foundation
Shodor: Gas Laws
An excellent site for understanding and applying the ideal gas law. The combined and other variations of the ideal gas law are derived. There are sample application problems with an abbreviated method of solving the problems.
OpenStax
Open Stax: College Physics: Bernoulli's Equation
Learn all about Bernoulli's principle in this section. Explore the definition, how to calculate, how to derive, and applications of Bernoulli's equation. Section also includes problems and questions for the students to answer to ensure...
TeachEngineering
Teach Engineering: Graph Theory in Drama
Students use graph theory to create social graphs for their own social networks and apply what learn to create a graph representing the social dynamics found in a dramatic text. Students then derive meaning based on what they know about...
CK-12 Foundation
Ck 12: Total Internal Reflection
[Free Registration/Login may be required to access all resource tools.] Students learn about total internal reflection. More specifically, they will learn what the critical angle is, how it is derived and how to solve for it in real life...
Analyze Math
Analyze Math: Linear Approximation of Functions
Students learn about linear approximation. The tutorial consists of examples with detailed solutions.
Other
Karl's Calculus Tutor: The Chain Rule
This site provides a detailed overview of the chain rule. Content includes several examples, applications, and exercises.